Gamma Question Bank for Engineering Mathematics>Chapter 17 - Statistics>Assignment>Q 33

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The mean and variance of $6$ observations are $5$ and $7$ respectively. If the four observations are $1, 3, 4, 6$ , then the remaining two observations are

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Important Questions on Statistics

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Gamma Question Bank for Engineering Mathematics>Chapter 17 - Statistics>Assignment>Q 34

If

n = 10, \bar{X} = 12

and

Σ x_{i}^{2} = 1530

, then the coefficient of variation is

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Gamma Question Bank for Engineering Mathematics>Chapter 17 - Statistics>Assignment>Q 35

Co-efficient of variation of two distributions are

25

and

30

and their standard deviations are

480

and

630

then sum of their arithmetic means are

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Gamma Question Bank for Engineering Mathematics>Chapter 17 - Statistics>Assignment>Q 36

The mean and standard deviation of

50

observations are

50

and

10

. Later on its was decided to omit an observation which was incorrect by recorded as

99

. Then the standard deviation of the remaining

49

observations are

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Gamma Question Bank for Engineering Mathematics>Chapter 17 - Statistics>Assignment>Q 37

If the co-efficient of variation of two distributions are

60 %

and

75 %

and their standard deviations are

45

and

40

, then the ratio of their arithmetic means is

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Gamma Question Bank for Engineering Mathematics>Chapter 17 - Statistics>Assignment>Q 38

If two distributions have equal means, then

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Gamma Question Bank for Engineering Mathematics>Chapter 17 - Statistics>Assignment>Q 39

Coefficients of variation of two distribution are

15

and

20

and their means are

20

and

10

respectively. If their standard deviations are

σ_{1}

and

σ_{2}

then

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Gamma Question Bank for Engineering Mathematics>Chapter 17 - Statistics>Assignment>Q 40

Given

\sum_{i = 1}^{20} a_{i} = 100, \sum_{i = 1}^{20} a_{i}^{2} = 600, \sum_{i = 1}^{20} b_{i} = 140, \sum_{i = 1}^{20} b_{i}^{2} = 1000

, where

a_{i}, b_{i}

denotes length and weight of an observation. Then which is more varying?

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Gamma Question Bank for Engineering Mathematics>Chapter 17 - Statistics>Assignment>Q 41

The mean of

50

observations were calculated as

4.04

by Mohan who took by mistake

10

instead of

8

for one observation. The correct mean is